#include using namespace std; using namespace std::chrono; using ll=long long; using pii=pair; using pll=pair; using pdd=pair; using pdl=pair; const ll LINF=0x3fffffffffffffff; const ll MOD=1000000007; const ll MODD=0x3b800001; const int INF=0x3fffffff; const double DINF=numeric_limits::infinity(); const vector four={{1,0},{0,1},{-1,0},{0,-1}}; #define _overload4(_1,_2,_3,_4,name,...) name #define _overload3(_1,_2,_3,name,...) name #define _rep1(n) _rep2(i,n) #define _rep2(i,n) _rep3(i,0,n) #define _rep3(i,a,b) for(ll i=a;i=a;i--) #define _rrep4(i,a,b,c) for(ll i=a+(b-a-1)/c*c;i>=a;i-=c) #define rrep(...) _overload4(__VA_ARGS__,_rrep4,_rrep3,_rrep2,_rrep1)(__VA_ARGS__) #define each(i,a) for(auto&& i:a) #define sum(...) accumulate(range(__VA_ARGS__),0LL) #define _range(i) (i).begin(),(i).end() #define _range2(i,k) (i).begin(),(i).begin()+k #define _range3(i,a,b) (i).begin()+a,(i).begin()+b #define range(...) _overload3(__VA_ARGS__,_range3,_range2,_range)(__VA_ARGS__) #define Yes(i) out(i?"Yes":"No") #define YES(i) out(i?"YES":"NO") //#define START auto start=system_clock::now() //#define END auto end=system_clock::now();cerr<(end-start).count()<<" ms\n" #define elif else if #define unless(a) if(!(a)) #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define STR(...) string __VA_ARGS__;in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;in(__VA_ARGS__) #define vec(type,name,...) vector name(__VA_ARGS__) #define VEC(type,name,size) vector name(size);in(name) #define vv(type,name,h,...) vector>name(h,vector(__VA_ARGS__)) #define VV(type,name,h,...) vector>name(h,vector(__VA_ARGS__));in(name) __attribute__((constructor)) void SETTINGS(){cin.tie(0); cout.tie(0); ios::sync_with_stdio(0); cout< inline constexpr T gcd (T a,T b) {if(a==b)return a;else return gcd(b,(a-1)%b+1);} template inline constexpr T lcm (T a,T b) {a*b/gcd(a,b);} template inline constexpr T min(vector& v){return *min_element(range(v));} inline char min(string& v){return *min_element(range(v));} template inline constexpr T max(vector& v){return *max_element(range(v));} inline char max(string& v){return *max_element(range(v));} template inline bool update_min(T& mn,const T& cnt){if(mn>cnt){mn=cnt;return 1;}else return 0;} template inline bool update_max(T& mx,const T& cnt){if(mx istream& operator >> (istream& is, vector& vec); template istream& operator >> (istream& is, array& vec); template istream& operator >> (istream& is, pair& p); template ostream& operator << (ostream& os, vector& vec); template ostream& operator << (ostream& os, pair& p); template istream& operator >> (istream& is, vector& vec){for(T& x: vec) is >> x;return is;} template istream& operator >> (istream& is, pair& p){is >> p.first;is >> p.second;return is;} template ostream& operator << (ostream& os, vector& vec){os << vec[0];rep(i,1,vec.size()){os << ' ' << vec[i];}return os;} template ostream& operator << (ostream& os, deque& deq){os << deq[0];rep(i,1,deq.size()){os << ' ' << deq[i];}return os;} template ostream& operator << (ostream& os, pair& p){os << p.first << " " << p.second;return os;} ostream &operator<<(ostream &dest, __uint128_t value) { ostream::sentry s(dest); if (s) { char buffer[128]; char *d = end(buffer); do { --d; *d = "0123456789"[value % 10]; value /= 10; } while (value != 0); int len = end(buffer) - d; if (dest.rdbuf()->sputn(d, len) != len) { dest.setstate(ios_base::badbit); } } return dest; } template inline void in(Head&& head,Tail&&... tail){cin>>head;in(move(tail)...);} template inline void out(T t){cout< inline void out(Head head,Tail... tail){cout< inline void err(T t){cerr< inline void err(Head head,Tail... tail){cerr<>64,b_low=b&0xffffffffffffffff,b_high=b>>64,result; result=a_high*b_high%m; rep(64)result=result*2%m; result=(result+a_low*b_high+b_low*a_high)%m; rep(64)result=result*2%m; result=(result+a_low*b_low)%m; return result; } //n**p % m __uint128_t bigPowMod(__uint128_t n, __uint128_t p, __uint128_t m){ __uint128_t ans = 1, ln = n; if(p <= 0) return 1; while(p != 0){ if((p & 1) == 1) ans = bigMul(ans, ln, m); //ans = (ans*ln) % m; //ln = (ln * ln) % m; ln = bigMul(ln, ln, m); p = p >> 1; } return ans; } bool suspect(int a, int s, __uint128_t d, __uint128_t n) { __uint128_t x = bigPowMod(a, d, n); if (x == 1) return true; for (int r = 0; r < s; ++r) { if (x == n - 1) return true; //x = x * x % n; x = bigMul(x, x, n); } return false; } const vector test={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97}; bool MillerRabin(__uint128_t n) { if (n <= 1 || (n > 2 && n % 2 == 0)) return false; __uint128_t d = n - 1; int s = 0; while (d%2==0){ s++; d /= 2; } each(i,test)if (!suspect(i, s, d, n)) return false; return true; } bool is_prime(__uint128_t n){ if (n < 2) return false; if (n < 4) return true; if (!(n % 2)) return false; if (!(n % 3)) return false; __uint128_t sq = sqrt(double(n))+1; const vector<__uint128_t>p={5,7,11,13,17,19}; each(i,p){ if (sq < i) return true; if (!(n % i)) return false; } if(MillerRabin(n))return true; return false; } int n,k; vector<__uint128_t>primes; set,int>>s; bool permsearch(int n,string num,__uint128_t num_i,vector&card,int last=0){ if(s.count({n,num,card,last}))return 0; s.insert({n,num,card,last}); if(n==0){ if(is_prime(num_i)){ primes.push_back(num_i); k--; if(!k)return 1; } if(k<=100)k--; return !k; } bool b=1; rep(i,1,100,2)if(i%5&&card[i]){ b=0; break; } if(b)return 0; b=1; rep(i,1,10)if(card[i]){ b=0; break; } if(b){ int c=int(num_i%11); rep(i,10,100)c+=card[i]*i; if(c%11==0)return 0; } rrep(i,10,100){ if(i%11==0&&card[i/11]){ if(last==i)continue; int card1=card[i/11],card11=card[i],m=n; string num2=num; auto num_i2=num_i; card[i/11]=0; card[i]=0; m-=card1+card11; rep(j,card11){ num2=num2+to_string(i); num_i2=num_i2*100+i; } rep(j,card1){ num2=num2+to_string(i/11); num_i2=num_i2*10+i/11; } while(card[i/11]!=card1||card[i]!=card11){ if(permsearch(m,num2,num_i2,card,i))return 1; if(card[i/11]!=card1){ card[i/11]++; m++; num2.pop_back(); num_i2/=10; } else{ if(card1){ card[i]++; card[i/11]--; num2.pop_back(); num_i2/=10; } else{ card[i]++; m++; num2.pop_back(); num2.pop_back(); num_i2/=100; } } } card[i/11]=card1; card[i]=card11; } elif(card[i]){ card[i]--; if(permsearch(n-1,num+to_string(i),num_i*100+i,card))return 1; card[i]++; } } return 0; } signed main(){ in(n,k); if(n==1){ INT(a); if(is_prime(a))out(a); return puts("-1")&0; } int l=k; k+=100; VEC(int,a,n); if(sum(a)%3==0)return puts("-1")&0; vectorcard(100); each(i,a)card[i]++; permsearch(n,"",0,card); sort(range(primes),greater<__uint128_t>()); rep(min(l,int(primes.size())))out(primes[i]); out(-1); }